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Finding the Third Proportional to 33,990.75 and 72,902.25

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Solution

The third proportional to 33,990.75 and 72,902.25 is: 156,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990.75 : 72,902.25 = 72,902.25 : x
  2. Step 2: Convert to fraction form
    33,990.75/72,902.25 = 72,902.25/x
  3. Step 3: Cross multiply
    33,990.75x = 72,902.25 × 72,902.25
  4. Step 4: Simplify right side
    33,990.75x = 5,314,738,055.06
  5. Step 5: Solve for x
    x = 5,314,738,055.06/33,990.75
  6. Step 6: Final answer
    x = 156,358.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.